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Simplifying -0.5x + 9.97 = -0.1x + 9.57 Reorder the terms: 9.97 + -0.5x = -0.1x + 9.57 Reorder the terms: 9.97 + -0.5x = 9.57 + -0.1x Solving 9.97 + -0.5x = 9.57 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 9.97 + -0.5x + 0.1x = 9.57 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x 9.97 + -0.4x = 9.57 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 9.97 + -0.4x = 9.57 + 0.0 9.97 + -0.4x = 9.57 Add '-9.97' to each side of the equation. 9.97 + -9.97 + -0.4x = 9.57 + -9.97 Combine like terms: 9.97 + -9.97 = 0.00 0.00 + -0.4x = 9.57 + -9.97 -0.4x = 9.57 + -9.97 Combine like terms: 9.57 + -9.97 = -0.4 -0.4x = -0.4 Divide each side by '-0.4'. x = 1 Simplifying x = 1
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